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Finding the Third Proportional to 155,819 and 340,798

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Solution

The third proportional to 155,819 and 340,798 is: 745,373.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,819 : 340,798 = 340,798 : x
  2. Step 2: Convert to fraction form
    155,819/340,798 = 340,798/x
  3. Step 3: Cross multiply
    155,819x = 340,798 × 340,798
  4. Step 4: Simplify right side
    155,819x = 116,143,276,804
  5. Step 5: Solve for x
    x = 116,143,276,804/155,819
  6. Step 6: Final answer
    x = 745,373.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.